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Finding the Fourth Proportional to 9,933.63, 14,902.26 and 4,739.50

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Solution

The fourth proportional to 9,933.63, 14,902.26 and 4,739.50 is: 7,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.63 : 14,902.26 = 4,739.50 : x
  2. Step 2: Convert to fraction form
    9,933.63/14,902.26 = 4,739.50/x
  3. Step 3: Cross multiply
    9,933.63x = 14,902.26 × 4,739.50
  4. Step 4: Simplify right side
    9,933.63x = 70,629,261.27
  5. Step 5: Solve for x
    x = 70,629,261.27/9,933.63
  6. Step 6: Final answer
    x = 7,110.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.